4063973760 has 1152 divisors, whose sum is σ = 19046664000. Its totient is φ = 794787840.

The previous prime is 4063973759. The next prime is 4063973779. The reversal of 4063973760 is 673793604.

4063973760 = 246² + 247² + ... + 2302².

4063973760 is a `hidden beast` number, since 4 + 0 + 639 + 7 + 3 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 239057272 + ... + 239057288.

Almost surely, 2^4063973760 is an apocalyptic number.

4063973760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4063973760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9523332000).

4063973760 is an abundant number, since it is smaller than the sum of its proper divisors (14982690240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4063973760 is a wasteful number, since it uses less digits than its factorization.

4063973760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The square root of 4063973760 is about 63749.3039962006. The cubic root of 4063973760 is about 1595.8190007113.

The spelling of 4063973760 in words is "four billion, sixty-three million, nine hundred seventy-three thousand, seven hundred sixty".